Which of the following statements about the third quadrant is correct?

Which of the following statements about the third quadrant is correct?
  1. Both $x$ and $y$ are positive.
  2. Both $x$ and $y$ are negative.
  3. $x$ is positive and $y$ is negative.
  4. $x$ is negative and $y$ is positive.

Solution

Quadrant III is below the $x$-axis and to the left of the $y$-axis, so both coordinates are negative.

Asked in: IMO

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